Finite Group Databasebeta

← #29482084

Subgroups — #29482084

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438684C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437156C211yesmaximal, characteristic, complemented
4#21436888C211yesmaximal, characteristic, complemented
5#21436814C211yesmaximal, characteristic, complemented
6#21436276C211yesmaximal, characteristic, complemented
7#21436246C211yesmaximal, characteristic, complemented
8#21436156C211yesmaximal, characteristic, complemented
9#21436126C211yesmaximal, characteristic, complemented
10#21436040C211yesmaximal, characteristic, complemented
11#21436018C211yesmaximal, characteristic, complemented
12#21435799C211yesmaximal, characteristic, complemented
13#21435777C211yesmaximal, characteristic, complemented
14#21435632C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435522C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435416C211yesmaximal, characteristic, complemented
21#21435199C211yesmaximal, characteristic, complemented
22#21435184C211yesmaximal, characteristic, complemented
23#21435087C211yesmaximal, characteristic, complemented
24#21434348C211yesmaximal, characteristic, complemented
25#21434339C211yesmaximal, characteristic, complemented
26#21434205C211yesmaximal, characteristic, complemented
27#21433608C211yesmaximal, characteristic, complemented
28#21433599C211yesmaximal, characteristic, complemented
29#21433551C211yesmaximal, characteristic, complemented
30#21433235C211yesmaximal, characteristic, complemented
31C59×#3514C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35C2×#14273747C2211yescharacteristic, complemented
36C22×#11745670C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838148—21no—
39#16838140—21no—
40#16838137C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic, complemented
42#16838103—21no—
43#16838077—21no—
44#16838073C2211yescharacteristic, complemented
45#16838061C2211yescharacteristic
46#16838061C2211yescharacteristic, complemented
47#16838057C2211yescharacteristic, complemented
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic, complemented
50#16838014C2211yescharacteristic, complemented
51#16838007C2211yescharacteristic, complemented
52#16838004—21no—
53#16838000—21no—
54#16837988—21no—
55#16837986—21no—
56#16837978C2211yescharacteristic, complemented
57#16837971C2211yescharacteristic, complemented
58#16837952C2211yescharacteristic, complemented
59#16837936C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic, complemented
62#16837789C2211yescharacteristic
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837764C2211yescharacteristic, complemented
67#16837764C2211yescharacteristic, complemented
68#16837764C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837754C2211yescharacteristic, complemented
71#16837750C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837743C2211yescharacteristic, complemented
74#16837743C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837702C2211yescharacteristic, complemented
80#16837702C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837694C2211yescharacteristic, complemented
83#16837694C2211yescharacteristic, complemented
84#16837689C2211yescharacteristic, complemented
85#16837689C2211yescharacteristic, complemented
86#16837684C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837650C2211yescharacteristic, complemented
91#16837646C2211yescharacteristic
92#16837641C2211yescharacteristic, complemented
93#16837636C2211yescharacteristic, complemented
94#16837636C2211yescharacteristic, complemented
95#16837636C2211yescharacteristic, complemented
96#16837633C2211yescharacteristic, complemented
97#16837629C2211yescharacteristic
98#16837629C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic
106#16837617C2211yescharacteristic
107#16837617C2211yescharacteristic
108#16837617C2211yescharacteristic
109#16837617C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837617C2211yescharacteristic, complemented
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837607C2211yescharacteristic, complemented
118#16837607C2211yescharacteristic, complemented
119#16837607C2211yescharacteristic, complemented
120#16837607C2211yescharacteristic, complemented
121#16837607C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic, complemented
123#16837599C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic
125#16837597C2211yescharacteristic
126#16837597C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837557C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic
135#16837553C2211yescharacteristic
136#16837552C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic
138#16837545C2211yescharacteristic
139#16837545C2211yescharacteristic
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837540C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic
146#16837536C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745670C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic
163#16837474C2211yescharacteristic
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166D4×C59⋊C8C2211yescharacteristic, complemented
167D4×C59⋊C8C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
174#16837410C2211yescharacteristic, complemented
175#16837406C2211yescharacteristic, complemented
176#16837396C2211yescharacteristic, complemented
177#16837396C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179#16837396C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic, complemented
181C59×#556C2211yescharacteristic
182C59×#555C2211yescharacteristic
183C59×#555C2211yescharacteristic, complemented
184C59×#551—21no—
185C59×#551—21no—
186D4×Q8×C59C2211yescharacteristic, complemented
187C59×#548—21no—
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#542C2211yescharacteristic
193C59×#542C2211yescharacteristic, complemented
194C59×#538—21no—
195C59×#538—21no—
196C59×#532C2211yescharacteristic, complemented
197C59×#529—21no—
198C59×#529C2211yescharacteristic
199C2×#124×C59—21no—
200C59×#518C2211yescharacteristic
201C59×#518C2211yescharacteristic, complemented
202C4×#41×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×D236C2311yescharacteristic
209#14273753—42no—
210#14273753—42no—
211#14273747—42no—
212#14273747—42no—
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745670—42no—
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745669—42no—
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273722—21no—
251#14273722—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273716—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273711—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273707—21no—
278#14273707—21no—
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273705—21no—
284#14273703—21no—
285#14273702—21no—
286#14273702—21no—
287#14273701—21no—
288#14273701—21no—
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273699—21no—
300#14273698—21no—
301#14273697—21no—
302#14273697—21no—
303#14273695—21no—
304#14273695—21no—
305C4×Dic118C2311yescharacteristic
306C4×Dic118C2311yescharacteristic
307C4×Dic118C2311yescharacteristic
308C4×D236—21no—
309C4×D236—21no—
310C4×D236C2311yescharacteristic
311C4×D236C2311yescharacteristic
312C4×D236C2311yescharacteristic
313#14273689—21no—
314#14273689—21no—
315C4×C22⋊D59—21no—
316(C22⋊D59)⋊C4—21no—
317(C22⋊D59)⋊C4—21no—
318#14273685—21no—
319#14273684—21no—
320C4⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59—21no—
386C2×#41×C59C2311yescharacteristic
387C22×Q8×C59—21no—
388C22×D4×C59—21no—
389C22×D4×C59C2311yescharacteristic
390C22×D4×C59C2311yescharacteristic
391C4⋊Q8×C59C2311yescharacteristic
392C4⋊Q8×C59C2311yescharacteristic
393C4⋊Q8×C59C2311yescharacteristic
394#127×C59C2311yescharacteristic
395#126×C59—21no—
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#126×C59D411yescharacteristic
400#126×C59D411yescharacteristic
401#125×C59D411yescharacteristic
402#124×C59—21no—
403#124×C59—21no—
404#124×C59—21no—
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59—21no—
410#124×C59—21no—
411#124×C59D411yescharacteristic
412#124×C59C2311yescharacteristic
413#124×C59C2311yescharacteristic
414#123×C59—21no—
415#123×C59—21no—
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59D411yescharacteristic
421#123×C59D411yescharacteristic
422C22⋊Q8×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59D411yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430#121×C59—21no—
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59D411yescharacteristic
437#121×C59C2311yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#120×C59—21no—
442#120×C59—21no—
443#120×C59—21no—
444#120×C59—21no—
445C4×Q8×C59—21no—
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474#117×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C2×C22⋊C4×C59—21no—
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C22⋊C4×C59—21no—
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—82no—
490C2×Q8×C59—21no—
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—82no—
494C2×Q8×C59C2×D411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—22no—
497C2×D4×C59—22no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59—82no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2×D411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C22×Dic59—21no—
538#11745685—41no—
539#11745685—41no—
540#11745685—41no—
541#11745685—41no—
542#11745685—41no—
543#11745685—41no—
544#11745685—41no—
545#11745685—41no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×Dic118—21no—
564C2×Dic118—41no—
565C2×Dic118—41no—
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59C2×D411yescharacteristic
612C22⋊C4×C59C2×D411yescharacteristic
613C22⋊C4×C59C2×D411yescharacteristic
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C42×C59—21no—
622C42×C59—21no—
623C42×C59—21no—
624C42×C59—21no—
625C42×C59—21no—
626C42×C59C2×D411yescharacteristic
627C42×C59C2×D411yescharacteristic
628C42×C59C2411yescharacteristic
629C42×C59C2411yescharacteristic
630C42×C59C2411yescharacteristic
631C42×C59C2411yescharacteristic
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635#11745672—41no—
636#11745672—41no—
637#11745672—41no—
638#11745671—41no—
639#11745671—41no—
640#11745671—41no—
641#11745670—22no—
642#11745670—22no—
643#11745670—22no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745670—41no—
648#11745670—41no—
649#11745670—41no—
650#11745669—22no—
651#11745669—22no—
652#11745669—22no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658#11745669—41no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694C2×C59⋊C8—41no—
695C2×C59⋊C8—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—41no—
727Q8×C59—42no—
728Q8×C59—81no—
729Q8×C59—81no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—41no—
736D4×C59—41no—
737D4×C59—41no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59H(5,𝔽2)12yes—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—41no—
760C2×C4×C59—41no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C2511yescharacteristic
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—81no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—21no—
818Dic118—21no—
819Dic118—81no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—162no—
848C22×C59—162no—
849C22×C59C23×D411yescharacteristic
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—21no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59C2×H(5,𝔽2)11yescharacteristic
877C4×C59#58511yescharacteristic
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514D5911yescharacteristic, complemented
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311—591no—
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268—591no—
898#3267—591no—
899#3265—591no—
900#3264—591no—
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225—591no—
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122—591no—
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—41no—
917C2×C59—42no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59#348811yescharacteristic
921C2×C59#358411yescharacteristic
922C2×C59#358511yescharacteristic
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×#135—591no—
929C2×#135—591no—
930C22×SD16—591no—
931C22×D8—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559C2×D5911yescharacteristic, complemented
936#556—591no—
937#556C2×D5911yescharacteristic
938#555C2×D5911yescharacteristic
939#555C2×D5911yescharacteristic, complemented
940#553—1181no—
941#551—21no—
942#551—21no—
943#551—1181no—
944#550—591no—
945D4×Q8C2×D5911yescharacteristic, complemented
946#548—21no—
947#548—591no—
948#548—591no—
949#547—591no—
950#546—21no—
951#546—591no—
952#546—591no—
953#546C2×D5911yescharacteristic
954#546C2×D5911yescharacteristic, complemented
955D42C2×D5911yescharacteristic
956#542C2×D5911yescharacteristic
957#542C2×D5911yescharacteristic, complemented
958#541—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#538—21no—
963#538—21no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#532C2×D5911yescharacteristic, complemented
970#529—21no—
971#529—591no—
972#529C2×D5911yescharacteristic
973C2×#124—21no—
974#518C2×D5911yescharacteristic
975#518C2×D5911yescharacteristic, complemented
976C4×#41C2×D5911yescharacteristic, complemented
977#497—591no—
978#496—591no—
979#496—591no—
980#496—591no—
981#495—591no—
982#495—591no—
983#489—591no—
984#489—591no—
985#489—591no—
986#489—591no—
987#487—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#485—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#479—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476—591no—
1003#475—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#451—591no—
1051#450—591no—
1052#450—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#448—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442—591no—
1069#442—591no—
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440—591no—
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435—591no—
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—21no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—21no—
1105C22×Q8—591no—
1106C22×D4—21no—
1107C22×D4—591no—
1108C22×D4C22×D5911yescharacteristic
1109C22×D4C22×D5911yescharacteristic
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112#135—2362no—
1113#135—2362no—
1114C2×Q16—591no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—2362no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—2362no—
1140C2×M16—591no—
1141C2×M16—591no—
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8C22×D5911yescharacteristic
1149C4⋊Q8C22×D5911yescharacteristic
1150C4⋊Q8C22×D5911yescharacteristic
1151#127—591no—
1152#127—591no—
1153#127—1181no—
1154#127C22×D5911yescharacteristic
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126C22⋊D5911yescharacteristic
1165#126C22⋊D5911yescharacteristic
1166#125—591no—
1167#125—1181no—
1168#125—1181no—
1169#125C22⋊D5911yescharacteristic
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124C22⋊D5911yescharacteristic
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123C22⋊D5911yescharacteristic
1208#123C22⋊D5911yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8C22⋊D5911yescharacteristic
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121C22⋊D5911yescharacteristic
1248#121C22×D5911yescharacteristic
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—21no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290C4×D4C22×D5911yescharacteristic
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—1181no—
1300#117—1181no—
1301#117C22×D5911yescharacteristic
1302#117C22×D5911yescharacteristic
1303#117C22×D5911yescharacteristic
1304#117C22×D5911yescharacteristic
1305#117C22×D5911yescharacteristic
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—21no—
1316C2×C42C22×D5911yescharacteristic
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8—591no—
1372C22⋊C8—591no—
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—21no—
1381C24—1181no—
1382#41—22no—
1383#41—41no—
1384#41—82no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—82no—
1397C2×Q8—591no—
1398C2×Q8—591no—
1399C2×Q8—591no—
1400C2×Q8—1181no—
1401C2×Q8—2361no—
1402C2×Q8—2361no—
1403C2×Q8C2×C22⋊D5911yescharacteristic
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—82no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4C2×C22⋊D5911yescharacteristic
1437C2×D4C2×C22⋊D5911yescharacteristic
1438C2×D4C2×C22⋊D5911yescharacteristic
1439C2×D4C23×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4C2×C22⋊D5911yescharacteristic
1460C22×C4C2×C22⋊D5911yescharacteristic
1461C22×C4C23×D5911yescharacteristic
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—1182no—
1468SD16—1182no—
1469SD16—1182no—
1470SD16—2361no—
1471SD16—2361no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—1182no—
1480D8—1182no—
1481D8—1182no—
1482D8—2361no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—2361no—
1489M16—2361no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—591no—
1497C2×C8—591no—
1498C2×C8—2361no—
1499C2×C8—2361no—
1500C2×C8—2361no—
1501C2×C8—2361no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C2×C22⋊D5911yescharacteristic
1531C4⋊C4C2×C22⋊D5911yescharacteristic
1532C4⋊C4C2×C22⋊D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4C2×C22⋊D5911yescharacteristic
1578C22⋊C4C2×C22⋊D5911yescharacteristic
1579C22⋊C4C2×C22⋊D5911yescharacteristic
1580C22⋊C4C2×C22⋊D5911yescharacteristic
1581C22⋊C4C2×C22⋊D5911yescharacteristic
1582C22⋊C4C2×C22⋊D5911yescharacteristic
1583C22⋊C4C2×C22⋊D5911yescharacteristic
1584C22⋊C4C2×C22⋊D5911yescharacteristic
1585C22⋊C4C2×C22⋊D5911yescharacteristic
1586C22⋊C4C2×C22⋊D5911yescharacteristic
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42C2×C22⋊D5911yescharacteristic
1596C42C2×C22⋊D5911yescharacteristic
1597C42C23×D5911yescharacteristic
1598C42C23×D5911yescharacteristic
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23C22×C22⋊D5911yescharacteristic
1617C23C22×C22⋊D5911yescharacteristic
1618C23C22×C22⋊D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—41no—
1622Q8—42no—
1623Q8—81no—
1624Q8—81no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—1181no—
1628Q8—1181no—
1629Q8—1181no—
1630Q8—1181no—
1631Q8—4721no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—41no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—42no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—1181no—
1650D4—1181no—
1651D4—1181no—
1652D4—1181no—
1653D4—1181no—
1654D4—1181no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4#1427377312yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4C22×C22⋊D5911yescharacteristic
1704C2×C4C22×C22⋊D5911yescharacteristic
1705C2×C4C22×C22⋊D5911yescharacteristic
1706C2×C4C22×C22⋊D5911yescharacteristic
1707C2×C4C22×C22⋊D5911yescharacteristic
1708C2×C4C22×C22⋊D5911yescharacteristic
1709C2×C4C22×C22⋊D5911yescharacteristic
1710C2×C4C22×C22⋊D5911yescharacteristic
1711C2×C4C22×C22⋊D5911yescharacteristic
1712C2×C4C22×C22⋊D5911yescharacteristic
1713C2×C4C22×C22⋊D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
1718C8—1181no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—162no—
1743C22—9442no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C23×C22⋊D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377311yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—4721no—
1784C2—4721no—
1785C2—4721no—
1786C2#2143776511yescharacteristic
1787C2#2143886711yescharacteristic
1788C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3514C2
socleC22×C59C23×D4
hypercenter#3514D59
hypocenterC59#62011
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3514

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438684C2semidirect
2. #21437180C2semidirect
3. #21437156C2semidirect
4. #21436888C2semidirect
5. #21436814C2semidirect
6. #21436276C2semidirect
7. #21436246C2semidirect
8. #21436156C2semidirect
9. #21436126C2semidirect
10. #21436040C2semidirect
11. #21436018C2semidirect
12. #21435799C2semidirect
13. #21435777C2semidirect
14. #21435632C2semidirect
15. #21435617C2semidirect
16. #21435587C2semidirect
17. #21435572C2semidirect
18. #21435522C2semidirect
19. #21435507C2semidirect
20. #21435416C2semidirect
21. #21435199C2semidirect
22. #21435184C2semidirect
23. #21435087C2semidirect
24. #21434348C2semidirect
25. #21434339C2semidirect
26. #21434205C2semidirect
27. #21433608C2semidirect
28. #21433599C2semidirect
29. #21433551C2semidirect
30. #21433235C2semidirect
31. C59×#3514C2semidirect
35. C2×#14273747C22semidirect
36. C22×#11745670C22semidirect
40. #16838137C22semidirect
41. #16838125C22semidirect
44. #16838073C22semidirect
46. #16838061C22semidirect
47. #16838057C22semidirect
49. #16838048C22semidirect
50. #16838014C22semidirect
51. #16838007C22semidirect
56. #16837978C22semidirect
57. #16837971C22semidirect
58. #16837952C22semidirect
59. #16837936C22semidirect
60. #16837797C22semidirect
61. #16837792C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837764C22semidirect
67. #16837764C22semidirect
68. #16837764C22semidirect
69. #16837764C22semidirect
70. #16837754C22semidirect
71. #16837750C22semidirect
72. #16837743C22semidirect
73. #16837743C22semidirect
74. #16837743C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837709C22semidirect
79. #16837702C22semidirect
80. #16837702C22semidirect
81. #16837702C22semidirect
82. #16837694C22semidirect
83. #16837694C22semidirect
84. #16837689C22semidirect
85. #16837689C22semidirect
86. #16837684C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837650C22semidirect
92. #16837641C22semidirect
93. #16837636C22semidirect
94. #16837636C22semidirect
95. #16837636C22semidirect
96. #16837633C22semidirect
98. #16837629C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
113. #16837617C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837607C22semidirect
118. #16837607C22semidirect
119. #16837607C22semidirect
120. #16837607C22semidirect
121. #16837607C22semidirect
122. #16837602C22semidirect
123. #16837599C22semidirect
126. #16837597C22semidirect
127. #16837597C22semidirect
128. #16837597C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837557C22semidirect
136. #16837552C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
144. #16837540C22semidirect
146. #16837536C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837507C22semidirect
154. #16837502C22semidirect
155. #16837502C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745670C22semidirect
159. C4×#11745670C22semidirect
161. C4×#11745669C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. D4×C59⋊C8C22semidirect
167. D4×C59⋊C8C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. C2×C4⋊(C59⋊C8)C22semidirect
174. #16837410C22semidirect
175. #16837406C22semidirect
176. #16837396C22semidirect
177. #16837396C22semidirect
178. #16837396C22semidirect
179. #16837396C22semidirect
180. C59×#559C22semidirect
183. C59×#555C22semidirect
186. D4×Q8×C59C22semidirect
190. C59×#546C22semidirect
193. C59×#542C22semidirect
196. C59×#532C22semidirect
201. C59×#518C22semidirect
202. C4×#41×C59C22semidirect
884. #3514D59semidirect
935. #559C2×D59semidirect
939. #555C2×D59semidirect
945. D4×Q8C2×D59semidirect
954. #546C2×D59semidirect
957. #542C2×D59semidirect
969. #532C2×D59semidirect
975. #518C2×D59semidirect
976. C4×#41C2×D59semidirect
1097. C59#62011semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214386842
#214371802
#214371562
#214368882
#214368142
#214362762
#214362462
#214361562
#214361262
#214360402
#214360182
#214357992
#214357772
#214356322
#214356172
#214355872
#214355722
#214355222
#214355072
#214354162
#214351992
#214351842
#214350872
#214343482
#214343392
#214342052
#214336082
#214335992
#214335512
#214332352
C59×#35142
#6201159